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Wave Optics question

2013 · Shift 0 · Q55
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Wave Optics question

2013 · Shift 0 · Q55

JEE MainPhysicsWave OpticsMCQ+4 / −1
Two coherent point sources S1{S_1}S1​ and S2{S_2}S2​ are separated by a small distance ′d′'d'′d′ as shown. The fringes obtained on the screen will be JEE Main 2013 (Offline) Physics - Wave Optics Question 137 English
  1. A
    points
  2. B
    straight lines
  3. C
    semi-circles
  4. D
    concentric circles
View written solutionFree

Correct answer: D

  1. Identify the interference geometry

    Two coherent point sources S1S_1S1​ and S2S_2S2​ are separated by a small distance ddd.

    In interference, the loci of points of constant path difference satisfy S2P−S1P=nλ,S_2P - S_1P = n\lambda,S2​P−S1​P=nλ, where PPP is a point on the screen and nnn is an integer.

  2. Nature of fringes from two point sources

    For two point sources, the wavefronts are spherical (or circular in a 2D section). The intersections of constant path-difference surfaces with the screen give the fringe pattern.

    When the screen is placed in front of the sources as in the usual arrangement, the loci of constant path difference become circles centered around the point on the screen lying opposite the midpoint of S1S2S_1S_2S1​S2​.

    Hence, the bright and dark fringes appear as concentric circles.

  3. Check the options

    • A: points — incorrect, fringes are extended loci, not isolated points.
    • B: straight lines — this occurs in Young's double slit arrangement with effectively plane waves at a distant screen, not here for point sources in this geometry.
    • C: semi-circles — not the full fringe pattern.
    • D: concentric circles — correct.
  4. Final answer

    Therefore, the fringes obtained on the screen will be concentric circles.\boxed{\text{concentric circles}}.concentric circles​.

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